INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, vol.22, no.5, 2012 (SCI-Expanded)
Article / Article
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION
Science Citation Index Expanded (SCI-EXPANDED), Scopus
Grigorchuk group, profinite completion, BRANCH GROUPS, PRESENTATIONS
Middle East Technical University Affiliated:
In this paper we prove that the profinite completion (G) over cap of the Grigorchuk group G is not finitely presented as a profinite group. We obtain this result by showing that H-2((G) over cap, F-2) is infinite dimensional. Also several results are proven about the finite quotients G/St(G)(n) including minimal presentations and Schur Multipliers.